Brazil · Ano 9 · Practice Sheet 7

1. 1.

   A train moves at 86 km/h for 5.3 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

   View formula →
2. 2.

   Solve for x: 3x + 1 = 37.

   Formula:Solving a Linear Equation

   $x = \dfrac{c - b}{a}$

   View formula →
3. 3.

   A cone has base radius 5 cm and height 6 cm. Find its volume. (π ≈ 3.14159)

   Formula:Volume of a Cone

   $V = \tfrac{1}{3} \pi r^2 h$

   View formula →
4. 4.

   A train moves at 67 km/h for 3.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

   View formula →
5. 5.

   A device runs at 26 V drawing 7.1 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

   View formula →
6. 6.

   A cone has base radius 9 cm and height 18 cm. Find its volume. (π ≈ 3.14159)

   Formula:Volume of a Cone

   $V = \tfrac{1}{3} \pi r^2 h$

   View formula →
7. 7.

   Solve for x: 5x + 15 = 30.

   Formula:Solving a Linear Equation

   $x = \dfrac{c - b}{a}$

   View formula →
8. 8.

   R$ 75 is shared in the ratio 1 : 2. Find each share.

   Formula:Dividing in a Ratio

   $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

   View formula →
9. 9.

   A circle has a radius of 11 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

   View formula →
10. 10.

    A car travels 654 km in 6 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

    View formula →
11. 11.

    A current of 7.9 A flows through a 45 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law

    $V = I R$

    View formula →
12. 12.

    Find the momentum of a 26 kg object moving at 28 m/s.

    Formula:Momentum

    $p = mv$

    View formula →
13. 13.

    A bag has 14 equally likely marbles, of which 1 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability

    $P(E) = \dfrac{\text{favourable}}{\text{total}}$

    View formula →
14. 14.

    Find the momentum of a 2 kg object moving at 25 m/s.

    Formula:Momentum

    $p = mv$

    View formula →
15. 15.

    A device runs at 67 V drawing 2.9 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

    View formula →
16. 16.

    A cylinder has radius 8 cm and height 18 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder

    $V = \pi r^2 h$

    View formula →
17. 17.

    A circle has a radius of 14 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

    View formula →
18. 18.

    Find the force needed to accelerate a 7 kg mass at 5 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
19. 19.

    Find the volume of a sphere of radius 10 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

    $V = \tfrac{4}{3} \pi r^3$

    View formula →
20. 20.

    A car travels 760 km in 8 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.